Chapter 6 - Time Value of Money Flashcards
Future Value
The worth in the future of an amount invested today, or the worth in the future of a series of payments made over time
Present Value
the worth today of a future payment, or the worth today of a series of payments made over time
Future value is _____ to the Present value
discounted
Present value _____ to its Future value
grows
What a dollar invested today will be worth in the future depends on:
(1) length of the investment period; (2) method to calculate interest (simple/compound); (3) interest rate
2 types of methods to calculate interest
simple & compound
Simple interest
calculated only on the original principal each year
Compound interest
calculated on both the original principal and any accumulated interest earned up to that point
Future value implies the _____ method
compound
List equation: FV = ?
PV (1 + i) ^ n
Discounting
taking future values back to the present
Present Value Factor
reciprocal of the Future Value Factor –> 1 / (1+i) ^ n
Present Value = ____ x _____
Future value X Present Value Factor
Annuity
a series of equal payments made or received at regular time intervals (i.e. mortgage, auto insurance)
Ordinary annuity
a series of equal annuity payments made or received at the END of each period
Annuity Due
series of annuity payments made or received at the BEGINNING of each period
Future value of an annuity
what an equal series of payments will be worth at some future date
Future Value Factor of an Annuity (FVFA)
a factor that when multiplied by a stream of equal payments equals the future value of that stream
Present value of an annuity
what the series of payments in the future is worth today
Present Value Factor of an Annuity (PVFA)
a factor that when multiplied by a stream of equal payments equals the present value of that stream
Perpetual annuity is also known as
Perpetuity
Perpetual annuity
a stream of equal payments at regular intervals indefinitely, with no end date
in perpetual annuities, the period is
infinite
in perpetual annuities, the donation has ____ and the donor _____
indefinite life; demands that income from donation to be used for specific purpose